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Finding the Third Proportional to 38,426 and 82,682

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Solution

The third proportional to 38,426 and 82,682 is: 177,908.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,426 : 82,682 = 82,682 : x
  2. Step 2: Convert to fraction form
    38,426/82,682 = 82,682/x
  3. Step 3: Cross multiply
    38,426x = 82,682 × 82,682
  4. Step 4: Simplify right side
    38,426x = 6,836,313,124
  5. Step 5: Solve for x
    x = 6,836,313,124/38,426
  6. Step 6: Final answer
    x = 177,908.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.